Fluxes in M-theory on 7-manifolds and G structures

Details Fluxes in M-theory on 7-manifolds and G structures Fluxes in M-theory on 7-manifolds and G structures

2003-02-07

arxiv.org/abs/hep-th/0302047v3

JHEP 0304:002,2003

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, Latex; minor changes & add references

Scientific paper

10.1088/1126-6708/2003/04/002

We consider warp compactifications of M-theory on 7-manifolds in the presence of 4-form fluxes and investigate the constraints imposed by supersymmetry. As long as the 7-manifold supports only one Killing spinor we infer from the Killing spinor equations that non-trivial 4-form fluxes will necessarily curve the external 4-dimensional space. On the other hand, if the 7-manifold has at least two Killing spinors, there is a non-trivial Killing vector yielding a reduction of the 7-manifold to a 6-manifold and we confirm that 4-form fluxes can be incorporated if one includes non-trivial SU(3) structures.

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